The local cohomology of the Jacobian ring
Edoardo Sernesi
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Abstract
We study the 0-th local cohomology module of the jacobian ring of a singular reduced complex projective hypersurface , by relating it to the sheaf of logarithmic vector fields along . We investigate the analogies between and the well known properties of the jacobian ring of a nonsingular hypersurface. In particular we study self-duality, Hodge theoretic and Torelli type questions for .
Cite this article
Edoardo Sernesi, The local cohomology of the Jacobian ring. Doc. Math. 19 (2014), pp. 541–565
DOI 10.4171/DM/455